{
  "title": "参数范围与边界检查",
  "scope": "指定边界情景和数值回归；不是蒙特卡洛成功概率，也不是实物标定。",
  "ranges": {
    "flat": [
      {
        "key": "length",
        "label": "计时长度",
        "min": 10,
        "max": 75,
        "sliderStep": 1,
        "default": 60,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "width",
        "label": "板宽",
        "min": 5,
        "max": 75,
        "sliderStep": 1,
        "default": 20,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "drop",
        "label": "全段落差",
        "min": 0,
        "max": 600,
        "sliderStep": 0.001,
        "default": 3,
        "unit": "mm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚阻",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.004,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "snake": [
      {
        "key": "levels",
        "label": "轨道段数",
        "min": 2,
        "max": 12,
        "sliderStep": 1,
        "default": 10,
        "unit": "段",
        "numericInputStep": 1
      },
      {
        "key": "drop",
        "label": "每段落差",
        "min": 0,
        "max": 10,
        "sliderStep": 0.01,
        "default": 3,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "gap",
        "label": "转接净落差",
        "min": 5,
        "max": 15,
        "sliderStep": 0.1,
        "default": 5,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "eta",
        "label": "转接动能保留",
        "min": 0,
        "max": 1,
        "sliderStep": 0.01,
        "default": 0.25,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "helix": [
      {
        "key": "turns",
        "label": "圈数",
        "min": 1,
        "max": 12,
        "sliderStep": 1,
        "default": 8,
        "unit": "圈",
        "numericInputStep": 1
      },
      {
        "key": "radius",
        "label": "球心线半径",
        "min": 6,
        "max": 35,
        "sliderStep": 0.1,
        "default": 33,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "pitch",
        "label": "每圈落差",
        "min": 5,
        "max": 30,
        "sliderStep": 0.01,
        "default": 10,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "eta",
        "label": "每 30° 接缝动能保留",
        "min": 0,
        "max": 1,
        "sliderStep": 0.01,
        "default": 0.98,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "cone": [
      {
        "key": "radius",
        "label": "球心入口半径",
        "min": 5,
        "max": 35,
        "sliderStep": 0.1,
        "default": 15,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "depth",
        "label": "漏斗区落差",
        "min": 0,
        "max": 10,
        "sliderStep": 0.01,
        "default": 6.5,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "angle",
        "label": "入射偏角（相对切向）",
        "min": 0,
        "max": 90,
        "sliderStep": 0.1,
        "default": 5,
        "unit": "°",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "baffles": [
      {
        "key": "rows",
        "label": "斜墙排数",
        "min": 0,
        "max": 12,
        "sliderStep": 1,
        "default": 7,
        "unit": "排",
        "numericInputStep": 1
      },
      {
        "key": "slope",
        "label": "底板坡度",
        "min": 0,
        "max": 30,
        "sliderStep": 0.01,
        "default": 2.5,
        "unit": "°",
        "numericInputStep": "any"
      },
      {
        "key": "slant",
        "label": "短墙斜角",
        "min": 0,
        "max": 60,
        "sliderStep": 0.1,
        "default": 15,
        "unit": "°",
        "numericInputStep": "any"
      },
      {
        "key": "release",
        "label": "横向释放位置",
        "min": -15,
        "max": 15,
        "sliderStep": 0.01,
        "default": -1.9,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "bounce",
        "label": "法向回弹系数",
        "min": 0,
        "max": 1,
        "sliderStep": 0.01,
        "default": 0.2,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "pinboard": [
      {
        "key": "rows",
        "label": "圆柱排数",
        "min": 0,
        "max": 14,
        "sliderStep": 1,
        "default": 3,
        "unit": "排",
        "numericInputStep": 1
      },
      {
        "key": "spacing",
        "label": "横向柱距",
        "min": 4,
        "max": 15,
        "sliderStep": 0.01,
        "default": 8,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "slope",
        "label": "底板坡度",
        "min": 0,
        "max": 30,
        "sliderStep": 0.01,
        "default": 8,
        "unit": "°",
        "numericInputStep": "any"
      },
      {
        "key": "release",
        "label": "横向释放位置",
        "min": -15,
        "max": 15,
        "sliderStep": 0.01,
        "default": 1.9,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "bounce",
        "label": "法向回弹系数",
        "min": 0,
        "max": 1,
        "sliderStep": 0.01,
        "default": 0.2,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "hilbert": [
      {
        "key": "drop",
        "label": "总落差",
        "min": 0,
        "max": 80,
        "sliderStep": 0.01,
        "default": 30,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "eta",
        "label": "90° 转角动能保留",
        "min": 0,
        "max": 1,
        "sliderStep": 0.01,
        "default": 0.9,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ],
    "grid": [
      {
        "key": "drop",
        "label": "总落差",
        "min": 0,
        "max": 80,
        "sliderStep": 0.01,
        "default": 30,
        "unit": "cm",
        "numericInputStep": "any"
      },
      {
        "key": "mu",
        "label": "等效滚动阻力",
        "min": 0,
        "max": 0.1,
        "sliderStep": 0.0001,
        "default": 0.01,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "eta",
        "label": "90° 转角动能保留",
        "min": 0,
        "max": 1,
        "sliderStep": 0.01,
        "default": 0.9,
        "unit": "",
        "numericInputStep": "any"
      },
      {
        "key": "horizon",
        "label": "最长观察时间",
        "values": [
          60,
          300,
          600
        ],
        "default": 300
      }
    ]
  },
  "physicalRanges": [
    {
      "key": "air",
      "label": "空气阻力 Cd",
      "min": 0,
      "max": 2,
      "sliderStep": 0.01,
      "default": 0.47,
      "unit": "",
      "numericInputStep": "any"
    },
    {
      "key": "friction",
      "label": "接触摩擦系数",
      "min": 0,
      "max": 2,
      "sliderStep": 0.01,
      "default": 0.6,
      "unit": "",
      "numericInputStep": "any"
    },
    {
      "key": "restitution",
      "label": "碰撞回弹系数",
      "min": 0,
      "max": 1,
      "sliderStep": 0.01,
      "default": 0.15,
      "unit": "",
      "numericInputStep": "any"
    },
    {
      "key": "rolling",
      "label": "滚阻力臂",
      "min": 0,
      "max": 1,
      "sliderStep": 0.001,
      "default": 0.02,
      "unit": "mm",
      "numericInputStep": "any"
    },
    {
      "key": "sag",
      "label": "预设下垂",
      "min": 0,
      "max": 10,
      "sliderStep": 0.1,
      "default": 0,
      "unit": "mm",
      "numericInputStep": "any"
    },
    {
      "key": "warp",
      "label": "预设翘曲",
      "min": -10,
      "max": 10,
      "sliderStep": 0.1,
      "default": 0,
      "unit": "mm",
      "numericInputStep": "any"
    },
    {
      "key": "releaseError",
      "label": "释放横向误差",
      "min": -5,
      "max": 5,
      "sliderStep": 0.1,
      "default": 0,
      "unit": "mm",
      "numericInputStep": "any"
    },
    {
      "key": "mass",
      "label": "球质量",
      "min": 1,
      "max": 10,
      "sliderStep": 0.1,
      "default": 2.7,
      "unit": "g",
      "numericInputStep": "any"
    },
    {
      "key": "diameter",
      "label": "球直径",
      "min": 38,
      "max": 42,
      "sliderStep": 0.1,
      "default": 40,
      "unit": "mm",
      "numericInputStep": "any"
    },
    {
      "key": "dt",
      "label": "计算步长",
      "values": [
        0.00025,
        0.0005,
        0.001,
        0.002
      ],
      "default": 0.001
    },
    {
      "key": "mesh",
      "label": "碰撞网格",
      "values": [
        0,
        1
      ],
      "default": 0
    },
    {
      "key": "horizon",
      "label": "最长观察时间",
      "values": [
        60,
        300,
        600
      ],
      "default": 300
    }
  ],
  "geometryLimits": [
    "螺旋与多层转接最低 5 cm，保留球径和轨面净空。",
    "斜墙不得相交或伸出底板；密集墙柱净距不足时提示，仍可试算堵塞。",
    "超出参考长方体尺寸时提示，不作为合规成品。",
    "释放位置与侧墙重叠时拒绝计算。"
  ],
  "quick": {
    "cases": 129,
    "rows": [
      {
        "family": "flat",
        "case": "default",
        "status": "通过平板出口",
        "time": 14.278609708545519,
        "completed": true
      },
      {
        "family": "flat",
        "case": "length=10",
        "status": "通过平板出口",
        "time": 1.143703735529328,
        "completed": true
      },
      {
        "family": "flat",
        "case": "length=75",
        "status": "无法起滚",
        "time": 0,
        "completed": false
      },
      {
        "family": "flat",
        "case": "width=5",
        "status": "通过平板出口",
        "time": 14.278609708545519,
        "completed": true
      },
      {
        "family": "flat",
        "case": "width=75",
        "status": "通过平板出口",
        "time": 14.278609708545519,
        "completed": true
      },
      {
        "family": "flat",
        "case": "drop=0",
        "status": "无法起滚",
        "time": 0,
        "completed": false
      },
      {
        "family": "flat",
        "case": "drop=600",
        "status": "通过平板出口",
        "time": 0.6398318026487472,
        "completed": true
      },
      {
        "family": "flat",
        "case": "mu=0",
        "status": "通过平板出口",
        "time": 6.38558838649925,
        "completed": true
      },
      {
        "family": "flat",
        "case": "mu=0.1",
        "status": "无法起滚",
        "time": 0,
        "completed": false
      },
      {
        "family": "flat",
        "case": "horizon=60",
        "status": "通过平板出口",
        "time": 14.278609708545519,
        "completed": true
      },
      {
        "family": "flat",
        "case": "horizon=300",
        "status": "通过平板出口",
        "time": 14.278609708545519,
        "completed": true
      },
      {
        "family": "flat",
        "case": "horizon=600",
        "status": "通过平板出口",
        "time": 14.278609708545519,
        "completed": true
      },
      {
        "family": "flat",
        "case": "horizontal",
        "status": "无法起滚",
        "time": 0,
        "completed": false
      },
      {
        "family": "snake",
        "case": "default",
        "status": "到达轨道末端",
        "time": 10.647922741227791,
        "completed": true
      },
      {
        "family": "snake",
        "case": "levels=2",
        "status": "到达轨道末端",
        "time": 3.0823219183212864,
        "completed": true
      },
      {
        "family": "snake",
        "case": "levels=12",
        "status": "到达轨道末端",
        "time": 12.532806684687712,
        "completed": true
      },
      {
        "family": "snake",
        "case": "drop=0",
        "status": "停在坡面",
        "time": 0,
        "completed": false
      },
      {
        "family": "snake",
        "case": "drop=10",
        "status": "到达轨道末端",
        "time": 6.7548105206189035,
        "completed": true
      },
      {
        "family": "snake",
        "case": "gap=5",
        "status": "到达轨道末端",
        "time": 10.647922741227791,
        "completed": true
      },
      {
        "family": "snake",
        "case": "gap=15",
        "status": "到达轨道末端",
        "time": 9.143434157259632,
        "completed": true
      },
      {
        "family": "snake",
        "case": "mu=0",
        "status": "到达轨道末端",
        "time": 10.027217485400543,
        "completed": true
      },
      {
        "family": "snake",
        "case": "mu=0.1",
        "status": "停在坡面",
        "time": 0,
        "completed": false
      },
      {
        "family": "snake",
        "case": "eta=0",
        "status": "到达轨道末端",
        "time": 21.39525589146256,
        "completed": true
      },
      {
        "family": "snake",
        "case": "eta=1",
        "status": "到达轨道末端",
        "time": 5.555019208311025,
        "completed": true
      },
      {
        "family": "snake",
        "case": "horizon=60",
        "status": "到达轨道末端",
        "time": 10.647922741227791,
        "completed": true
      },
      {
        "family": "snake",
        "case": "horizon=300",
        "status": "到达轨道末端",
        "time": 10.647922741227791,
        "completed": true
      },
      {
        "family": "snake",
        "case": "horizon=600",
        "status": "到达轨道末端",
        "time": 10.647922741227791,
        "completed": true
      },
      {
        "family": "snake",
        "case": "horizontal",
        "status": "停在坡面",
        "time": 0,
        "completed": false
      },
      {
        "family": "helix",
        "case": "default",
        "status": "到达轨道末端",
        "time": 14.180531167624466,
        "completed": true
      },
      {
        "family": "helix",
        "case": "turns=1",
        "status": "到达轨道末端",
        "time": 4.38281855814793,
        "completed": true
      },
      {
        "family": "helix",
        "case": "turns=12",
        "status": "到达轨道末端",
        "time": 18.62360102936739,
        "completed": true
      },
      {
        "family": "helix",
        "case": "radius=6",
        "status": "到达轨道末端",
        "time": 2.4181167349377364,
        "completed": true
      },
      {
        "family": "helix",
        "case": "radius=35",
        "status": "到达轨道末端",
        "time": 15.158658863307055,
        "completed": true
      },
      {
        "family": "helix",
        "case": "pitch=5",
        "status": "到达轨道末端",
        "time": 23.317308263426817,
        "completed": true
      },
      {
        "family": "helix",
        "case": "pitch=30",
        "status": "到达轨道末端",
        "time": 7.624656700166907,
        "completed": true
      },
      {
        "family": "helix",
        "case": "mu=0",
        "status": "到达轨道末端",
        "time": 12.625092505786359,
        "completed": true
      },
      {
        "family": "helix",
        "case": "mu=0.1",
        "status": "停在轨道中",
        "time": 0,
        "completed": false
      },
      {
        "family": "helix",
        "case": "eta=0",
        "status": "到达轨道末端",
        "time": 119.10821552084181,
        "completed": true
      },
      {
        "family": "helix",
        "case": "eta=1",
        "status": "到达轨道末端",
        "time": 12.156431341646233,
        "completed": true
      },
      {
        "family": "helix",
        "case": "horizon=60",
        "status": "到达轨道末端",
        "time": 14.180531167624466,
        "completed": true
      },
      {
        "family": "helix",
        "case": "horizon=300",
        "status": "到达轨道末端",
        "time": 14.180531167624466,
        "completed": true
      },
      {
        "family": "helix",
        "case": "horizon=600",
        "status": "到达轨道末端",
        "time": 14.180531167624466,
        "completed": true
      },
      {
        "family": "cone",
        "case": "default",
        "status": "到达中心区（未验证过孔）",
        "time": 17.82313116950883,
        "completed": true
      },
      {
        "family": "cone",
        "case": "radius=5",
        "status": "到达中心区（未验证过孔）",
        "time": 7.081687145588441,
        "completed": true
      },
      {
        "family": "cone",
        "case": "radius=35",
        "status": "到达中心区（未验证过孔）",
        "time": 23.192142882488398,
        "completed": true
      },
      {
        "family": "cone",
        "case": "depth=0",
        "status": "跑出外缘",
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